3673756512 has 192 divisors, whose sum is σ = 11249280000. Its totient is φ = 1164201984.

The previous prime is 3673756501. The next prime is 3673756519. The reversal of 3673756512 is 2156573763.

3673756512 is a `hidden beast` number, since 3 + 6 + 73 + 7 + 565 + 12 = 666.

3673756512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3673756512² = 26992973818924812288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673756519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3954064 + ... + 3954992.

It is an arithmetic number, because the mean of its divisors is an integer number (58590000).

Almost surely, 2^3673756512 is an apocalyptic number.

3673756512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673756512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

3673756512 is an abundant number, since it is smaller than the sum of its proper divisors (7575523488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3673756512 is a wasteful number, since it uses less digits than its factorization.

3673756512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 3673756512 is about 60611.5212810238. The cubic root of 3673756512 is about 1543.0149112034.

The spelling of 3673756512 in words is "three billion, six hundred seventy-three million, seven hundred fifty-six thousand, five hundred twelve".